What number would be next in the pattern?
1/324
1/108
1/36
1/12

OK, so noticing the numbers you have:
we can see that, multiplying each number by 3 gives the next one.
That is:
(1/324) x 3 = 1/108
(1/108) x 3 = 1/36
(1/36) x 3 = 1/12
So, to get the next number in the pattern, we will just multiply (1/12) by 3
The next number is:
(1/12) x 3 = 1/4

11123355543321112345566444